Geodesic
On the property of the closedness of the set of almost periodic functions
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 13-19

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We study the property of the closedness of the set of uniformly almost periodic functions with respect to the operation of addition. It is shown that the proof of this property found in the monograph by B. P. Demidovich “Lectures on the mathematical theory of stability” is not quite correct. A valid proof is given.
Keywords: almost periodic functions, closedness. 
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     title = {On the property of the closedness of the set of almost periodic functions},
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I. N. Banshchikova; S. N. Popova. On the property of the closedness of the set of almost periodic functions. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 13-19. http://geodesic.mathdoc.fr/item/VUU_2013_4_a1/